Here is a probate record for a William Dawson with a child William Dawson- see especially image 2, but note the discrepancies of 1) only 3 children, & 2) Kent instead of St. Georges (but I don't know Maryland's geographical history):
"Maryland Probate Estate and Guardianship Files, 1796-1940," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XXFN-1PR : 22 February 2021), William Dawson, 1785; citing Kent, county courts, Maryland.